Solution of electromagnetic wave equation in graded interface for exponential permeability and permittivity profile

[摘要] The electromagnetic wave equation in graded interface for exponential permeability and exponential permittivity profile was solved using asymptotic iteration method (AIM). In exponential function, we obtained the graded graphs of permittivity and permeability. By using exponential permeability and permittivity profile in Maxwell equation, we reduced Maxwell equation into the second orde differential equation. The second orde differential equation was reduced to AIM-type differential equation using separation variable and suitable parameter. By AIM, the wave vector and field equations were obtained. The field equations were expressed in hypergeometric function.

[发布机构] Physics Department, Graduate Program, Sebelas Maret University, Indonesia^1

[效力级别] 化学

[关键词] Asymptotic iteration method;Field equation;Graded interfaces;Hypergeometric functions;Permittivity profiles;Wave vector